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Finding the Fourth Proportional to 13,103.96, 19,643.11 and 5,203.85

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Solution

The fourth proportional to 13,103.96, 19,643.11 and 5,203.85 is: 7,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.96 : 19,643.11 = 5,203.85 : x
  2. Step 2: Convert to fraction form
    13,103.96/19,643.11 = 5,203.85/x
  3. Step 3: Cross multiply
    13,103.96x = 19,643.11 × 5,203.85
  4. Step 4: Simplify right side
    13,103.96x = 102,219,686.75
  5. Step 5: Solve for x
    x = 102,219,686.75/13,103.96
  6. Step 6: Final answer
    x = 7,800.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.